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Finding the Fourth Proportional to 12,382.88, 17,089.28 and 7,077.57

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Solution

The fourth proportional to 12,382.88, 17,089.28 and 7,077.57 is: 9,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.88 : 17,089.28 = 7,077.57 : x
  2. Step 2: Convert to fraction form
    12,382.88/17,089.28 = 7,077.57/x
  3. Step 3: Cross multiply
    12,382.88x = 17,089.28 × 7,077.57
  4. Step 4: Simplify right side
    12,382.88x = 120,950,540.06
  5. Step 5: Solve for x
    x = 120,950,540.06/12,382.88
  6. Step 6: Final answer
    x = 9,767.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.